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Second order initial value problems with non-absolute integrals in ordered Banach spaces

✍ Scribed by S. Heikkilä; M. Kumpulainen

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
240 KB
Volume
74
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper we derive the existence and comparison results for second order initial value problems in ordered Banach spaces. The considered problems can be implicit, singular, functional, discontinuous and nonlocal. The main tools are fixed point results in ordered spaces and the theory of locally HL integrable vector-valued functions.

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